Question

1. what is the area of the circle if xy = 17 in? 72.25π in² 36.75π in² 17π in² 8.5π in²

Explanation:

Step1: Find the radius

Since \(XY\) is the diameter of the circle and \(XY = 17\) in, the radius \(r=\frac{XY}{2}=\frac{17}{2}=8.5\) in.

Step2: Calculate the area

The formula for the area of a circle is \(A=\pi r^{2}\). Substitute \(r = 8.5\) into the formula: \(A=\pi\times(8.5)^{2}=\pi\times72.25 = 72.25\pi\) \(in^{2}\).

Answer:

\(72.25\pi\) \(in^{2}\) (the first option)